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Finding the Fourth Proportional to 3,297.50, 4,945.28 and 1,323.12

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Solution

The fourth proportional to 3,297.50, 4,945.28 and 1,323.12 is: 1,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.50 : 4,945.28 = 1,323.12 : x
  2. Step 2: Convert to fraction form
    3,297.50/4,945.28 = 1,323.12/x
  3. Step 3: Cross multiply
    3,297.50x = 4,945.28 × 1,323.12
  4. Step 4: Simplify right side
    3,297.50x = 6,543,192.26
  5. Step 5: Solve for x
    x = 6,543,192.26/3,297.50
  6. Step 6: Final answer
    x = 1,984.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.